Multiple-Input Multiple-Output Gaussian Broadcast Channels With Common and Confidential Messages

DOI10.1109/TIT.2010.2069190zbMATH Open1366.94395arXiv0907.2599OpenAlexW3104227429MaRDI QIDQ5281207

Tie Liu, Yingbin Liang, Hung D. Ly

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Abstract: This paper considers the problem of the multiple-input multiple-output (MIMO) Gaussian broadcast channel with two receivers (receivers 1 and 2) and two messages: a common message intended for both receivers and a confidential message intended only for receiver 1 but needing to be kept asymptotically perfectly secure from receiver 2. A matrix characterization of the secrecy capacity region is established via a channel enhancement argument. The enhanced channel is constructed by first splitting receiver 1 into two virtual receivers and then enhancing only the virtual receiver that decodes the confidential message. The secrecy capacity region of the enhanced channel is characterized using an extremal entropy inequality previously established for characterizing the capacity region of a degraded compound MIMO Gaussian broadcast channel.

Full work available at URL: https://arxiv.org/abs/0907.2599

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40)

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